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The Weyl Algebra and the Structure of Lie Superalgebras of Riemannian Type

Bertram Kostant
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Abstract

A Lie superalgebrea of Riemannian type leads to a representation of a quadratic Lie algebra into a Weyl algebra. A necessary and sufficient condition that such a representation leads to a Lie superalgebra of Riemannian type is that the Casimir maps to a constant.

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BibTeXRIS

Bertram Kostant. 2001-06-20. The Weyl Algebra and the Structure of Lie Superalgebras of Riemannian Type. https://arxiv.org/abs/math/0106171

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